Find​ dq/dp.

Q: a product is: MC = 6x + 4 dollars per unit. If the cost of producing 100 items is $31,400, find the…

A: To find the total cost function.

Q: The demand equation for a certain product is 7p2 + 6q? = 1900, where p is the price per unit in…

A: 7p2 + 6q2 = 1900

Q: The demand equation for a product is…

A: Demand Equation p = 90,000 / (400 + 3x) We need to calculate the average price p on the interval 40…

Q: The demand equation of a product and the total of production are given by p = 35 – 0.05x, C = 5x+…

A: To find the maximum profit.

Q: Suppose the demand for a certain brand of a product is given by D(p) = 352 + 50, where p is the %3D…

A: Demand function is given by  D(p) = - p2/352 +50 Price function is given by P(c) = 4c - 32

Q: Find the consumers' surplus at a price level of p=7 for the demand equation D(q)=30−0.1q where q is…

A:

Q: The demand function for a good is P = 15 - Q. The fixed cost is 530 and each product costs $2. The…

A:

Q: Given cost and price (demand) functions C(q) =110q + 40,600 and p(q) = - 2.1q+ 900, what profit can…

A: The price for which an article is bought is called its cost price. The price at which an article is…

Q: You work in the marketing department of the company that produces this DVD player and are asked to…

A: Given: The demand equation for a DVD player is  p=140-0.0001x  Where, P is the unit price of the…

Q: The demand equation for a quantity q of a product, in hundreds, at price p, in million rands, is p =…

A:

Q: The demand equation for a certain product is given by p = 120 – 0.05x , where p is the unit price…

A: Given - Demand equation  p =120-0.05x Total revenue R = xp where, p is the unit price in dollars…

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: The marginal cost (MC) is given by,MC=C'(x)=dCdx Where C(x) is total cost function per…

Q: Suppose the price p and the demand D(p) for a product are related by the price-demand equation D(p)…

A: Given data is: Dp+600p=12000Dp=12000-600p         ....1 To find the point elasticity of demand when…

Q: The demand equation for a certain product is given by p = 122 – 0.03x , where p is the unit price…

A: According to the problem , We have

Q: Suppose a company sells a certain product of x quantity and the price in dollars that modeled by the…

A:

Q: Calculate the consumers Surplos at the indicated unit price p for the demand equation P=120 tq; P -…

A: Let's Solve,

Q: Suppose the price p and the demand D(p) for a product are related by the price-demand equation…

A: The given demand curve is D(P) +600 p = 12000.

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A: Given : Demand function  p=45−0.1x   Cost function C(x)=30x+500

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A: Given: Demand function: p=40-0.1x Cost function: C(x)=25x+450 Now the revenue function is:…

Q: The demand equation for a smartphone is p = 5000( 1 3 3+е-0.005х Find the demand x for each price.…

A: Given demand equation for a smartphone is p=50001-33+e-0.005x.

Q: Given cost and price​ (demand) functions C(q)=110q+40,400 and p(q)=−1.8q+890​, what profit can the…

A:

Q: The demand equation for a certain product is given by p = 120 – 0.05x , where p is the unit price…

A: The demand equation for a certain product is: p=120-0.05x

Q: Find the breakeven point of a company if the cost function is C(x) = 100 – 15x and the %3D demand…

A: The breakeven point is obtained by solving the equation C(x)=x p(x). The value(s) of x is defined as…

Q: Consider the demand equation where x represents the quantity demanded in units of a thousand and p…

A:

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A:

Q: The demand equation for a certain product is given by p = 132 – 0.065x, where p is the unit price…

A:

Q: The demand equation for a certain product is given by 'p = 112 - 0.04 x, where 'p' is the unit price…

A:

Q: For the demand equation below, x represents the quantity demanded in units of 1000 and p is the unit…

A: We have to determine the quantity demanded corresponding to the given unit price p.

Q: It is known that the demand function for a good is shown by the equation P = - 5Q + 110 and the…

A: Given that, the demand function is px=-5Q+110 and the production cost is Cx=100+10Q+5Q2. Obtain the…

Q: If the demand function for a product is given by p(x) = -0.25x² + x + 99 , where x is the number of…

A: Given demand function for a product is:  px=-0.25x2+x+99 where x is the number of units demanded and…

Q: The demand equation for a certain product is given by p dollars) of the product and x is the number…

A:

Q: If the demand function for a product is given by p(x) = –0.25x² + x + 99 , where x is the number of…

A: Given - If the demand function for a product is given by px = -0.25x2 + x + 99, where x is the…

Q: The demand equation for a certain product is given by p = 128 – 0.025x , where p is the unit price…

A:

Q: Given cost and price​ (demand) functions C(q)=120q+44,900 and p(q)=−2.1q+850​, what profit can the…

A:

Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -2q + 890, what profit can the…

A:

Q: The demand equation for a certain product is given byp= 134 – 0.025x , wherep is the unit price (in…

A:

Q: The demand equation for a manufacturer's product is p= 100 – q, 0<q< 60, where q is the number of…

A:

Q: Given cost and price (demand) functions C(q) =110q+45,600 and p(q)= -1.8q + 870, what profit can the…

A: The cost price C(q) = 110q+45600 Demand Price P(q) = -1.8q+870 Revenue genereated = R(q) = qP(q)…

Q: The demand equation for a product is p = 20 − 0.0001x, where p is the price per unit and x is the…

A: Given,         The demand equation for a product is p=20−0.0001x, where p is the price per unit and…

Q: The demand equation for a certain product is 7p +g = 1,700, where p is the price per unit in dollars…

A: Given equation is Differentiating both sides with respect to p, we get

Q: The demand equation for a smartphone is 4 p = 5000( 1 4 + e-0.004x Find the demand x for each price.…

A: As the demand equation is given by putting price value in demand equation demand can be calculated

Q: The demand equation for a product is p = 65 − 0.0004x where p is the price per unit and x is the…

A: To convert the given word problem into an equation for x and solve for x.

Q: the total cost function for a product is C(x)= 300+8x+0.03x2 dollars. Find the minimum average cost

A:

Q: The demand equation for a product is p = 55 − 0.0008x where p is the price per unit and x is the…

A:

Q: Given cost and price (demand) functions C(q) = 110q+40,700 and p(q) = -1.9q + 900, what profit can…

A:

Q: The demand equation for a certain product is given by p = dollars) of the product and x is the…

A: Demand function for a certain product is given by p=106-0.09x, where p is unit price in dollars and…

Q: Suppose that q = f(p) is the demand curve for a product, where p is the selling price in dollars and…

A: Given:

Q: The demand equation for a smartphone is p = 5000(1 − 6/6 + e−0.002x)   Find the demand x for each…

A:

Q: The price p and the quantity q sold of a certain product is said to obey the demand equation q =…

A: The given demand equation is q=-11p+695, when 0≤p≤63. What is the revenue when price is 45.

Q: The demand equation for a certain product is given by p = 134 – dollars) of the product and x is the…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.